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Simplifying 9x4 + 8x2 + 4 = 0 Reorder the terms: 4 + 8x2 + 9x4 = 0 Solving 4 + 8x2 + 9x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + 0.8888888889x2 + x4 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + 0.8888888889x2 + -0.4444444444 + x4 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + 0.8888888889x2 + x4 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + 0.8888888889x2 + x4 = 0 + -0.4444444444 0.8888888889x2 + x4 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 0.8888888889x2 + x4 = -0.4444444444 The x term is 0.8888888889x2. Take half its coefficient (0.4444444445). Square it (0.1975308642) and add it to both sides. Add '0.1975308642' to each side of the equation. 0.8888888889x2 + 0.1975308642 + x4 = -0.4444444444 + 0.1975308642 Reorder the terms: 0.1975308642 + 0.8888888889x2 + x4 = -0.4444444444 + 0.1975308642 Combine like terms: -0.4444444444 + 0.1975308642 = -0.2469135802 0.1975308642 + 0.8888888889x2 + x4 = -0.2469135802 Factor a perfect square on the left side: (x2 + 0.4444444445)(x2 + 0.4444444445) = -0.2469135802 Can't calculate square root of the right side. The solution to this equation could not be determined.
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